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Finding the Fourth Proportional to 312,886.68, 469,282.50 and 102,519.96

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Solution

The fourth proportional to 312,886.68, 469,282.50 and 102,519.96 is: 153,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,886.68 : 469,282.50 = 102,519.96 : x
  2. Step 2: Convert to fraction form
    312,886.68/469,282.50 = 102,519.96/x
  3. Step 3: Cross multiply
    312,886.68x = 469,282.50 × 102,519.96
  4. Step 4: Simplify right side
    312,886.68x = 48,110,823,128.70
  5. Step 5: Solve for x
    x = 48,110,823,128.70/312,886.68
  6. Step 6: Final answer
    x = 153,764.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.